Question

t (3x + 8)° (5x - 12)° answer

Explanation:

1. Explanation:

• Assume the two angles \((3x + 8)^{\circ}\) and \((5x-12)^{\circ}\) are vertical - angles (since no other information about their relationship is given and vertical - angles are equal when two lines intersect).
• Step 1: Set up the equation
• Since vertical angles are equal, we set up the equation \(3x + 8=5x−12\).
• Step 2: Solve for \(x\)
• First, subtract \(3x\) from both sides of the equation:
• \(3x + 8-3x=5x−12 - 3x\), which simplifies to \(8 = 2x-12\).
• Then, add 12 to both sides:
• \(8 + 12=2x-12 + 12\), so \(20 = 2x\).
• Divide both sides by 2:
• \(\frac{20}{2}=\frac{2x}{2}\), and we get \(x = 10\).

1. Answer:

• \(x = 10\)

Answer:

1. Explanation:

• Assume the two angles \((3x + 8)^{\circ}\) and \((5x-12)^{\circ}\) are vertical - angles (since no other information about their relationship is given and vertical - angles are equal when two lines intersect).
• Step 1: Set up the equation
• Since vertical angles are equal, we set up the equation \(3x + 8=5x−12\).
• Step 2: Solve for \(x\)
• First, subtract \(3x\) from both sides of the equation:
• \(3x + 8-3x=5x−12 - 3x\), which simplifies to \(8 = 2x-12\).
• Then, add 12 to both sides:
• \(8 + 12=2x-12 + 12\), so \(20 = 2x\).
• Divide both sides by 2:
• \(\frac{20}{2}=\frac{2x}{2}\), and we get \(x = 10\).

1. Answer:

• \(x = 10\)